NFL Data Report

Dataset statistics

Number of variables	11
Number of observations	6823
Missing cells	9920
Missing cells (%)	13.2%
Duplicate rows	0
Duplicate rows (%)	0.0%
Total size in memory	586.5 KiB
Average record size in memory	88.0 B

Variable types

NUM	8
CAT	2
BOOL	1

Warnings

`Forty` has 170 (2.5%) missing values	Missing
`Vertical` has 1563 (22.9%) missing values	Missing
`BenchReps` has 2194 (32.2%) missing values	Missing
`BroadJump` has 1617 (23.7%) missing values	Missing
`Cone` has 2223 (32.6%) missing values	Missing
`Shuttle` has 2153 (31.6%) missing values	Missing
`Player` has unique values	Unique

Reproduction

Analysis started	2021-01-05 11:05:39.791500
Analysis finished	2021-01-05 11:05:49.534069
Duration	9.74 seconds
Software version	pandas-profiling v2.9.0
Download configuration	config.yaml

Player
Categorical

UNIQUE

Distinct	6823
Distinct (%)	100.0%
Missing	0
Missing (%)	0.0%
Memory size	53.3 KiB

Tim Day	1
LaMarr Woodley	1
Kedric Golston	1
Johnnie Morant	1
Chris Lindstrom	1
Other values (6818)	6818

Frequencies
Length

Common Values
Overview

Value	Count	Frequency (%)
Tim Day	1	< 0.1%
LaMarr Woodley	1	< 0.1%
Kedric Golston	1	< 0.1%
Johnnie Morant	1	< 0.1%
Chris Lindstrom	1	< 0.1%
LaDarius Perkins	1	< 0.1%
Curry Burns	1	< 0.1%
DeAndre Jackson	1	< 0.1%
Adam Haayer	1	< 0.1%
Lance Nimmo	1	< 0.1%
Other values (6813)	6813	99.9%

Frequencies of value counts

Unique

Unique	6823 ?
Unique (%)	100.0%

Histogram of lengths of the category

Length

Max length	27
Median length	13
Mean length	12.8903708
Min length	7

Pos
Categorical

Distinct	27
Distinct (%)	0.4%
Missing	0
Missing (%)	0.0%
Memory size	53.3 KiB

WR	942
CB	694
RB	597
DE	500
DT	480
Other values (22)	3610

Frequencies
Length

Common Values
Overview

Value	Count	Frequency (%)
WR	942	13.8%
CB	694	10.2%
RB	597	8.7%
DE	500	7.3%
DT	480	7.0%
OT	467	6.8%
OLB	424	6.2%
QB	383	5.6%
TE	378	5.5%
OG	377	5.5%
Other values (17)	1581	23.2%

Frequencies of value counts

Unique

Unique	0 ?
Unique (%)	0.0%

Histogram of lengths of the category

Length

Max length	4
Median length	2
Mean length	2.040891104
Min length	1

Ht
Real number (ℝ_≥0)

Distinct	18
Distinct (%)	0.3%
Missing	0
Missing (%)	0.0%
Infinite	0
Infinite (%)	0.0%

Mean	73.81430456
Minimum	65
Maximum	82
Zeros	0
Zeros (%)	0.0%
Memory size	53.3 KiB

Quantile statistics

Minimum	65
5-th percentile	69
Q1	72
median	74
Q3	76
95-th percentile	78
Maximum	82
Range	17
Interquartile range (IQR)	4

Descriptive statistics

Standard deviation	2.616382881
Coefficient of variation (CV)	0.03544547221
Kurtosis	-0.4588760342
Mean	73.81430456
Median Absolute Deviation (MAD)	2
Skewness	-0.1540872474
Sum	503635
Variance	6.845459378
Monotocity	Not monotonic

Histogram with fixed size bins (bins=18)

Value	Count	Frequency (%)
75	972	14.2%
74	897	13.1%
76	859	12.6%
73	839	12.3%
72	776	11.4%
77	619	9.1%
71	603	8.8%
70	430	6.3%
78	298	4.4%
69	239	3.5%
Other values (8)	291	4.3%

Minimum 5 values
Maximum 5 values

Value	Count	Frequency (%)
65	1	< 0.1%
66	10	0.1%
67	33	0.5%
68	78	1.1%
69	239	3.5%

Value	Count	Frequency (%)
82	2	< 0.1%
81	4	0.1%
80	38	0.6%
79	125	1.8%
78	298	4.4%

Wt
Real number (ℝ_≥0)

Distinct	206
Distinct (%)	3.0%
Missing	0
Missing (%)	0.0%
Infinite	0
Infinite (%)	0.0%

Mean	242.9860765
Minimum	149
Maximum	375
Zeros	0
Zeros (%)	0.0%
Memory size	53.3 KiB

Quantile statistics

Minimum	149
5-th percentile	186
Q1	206
median	233
Q3	279
95-th percentile	320
Maximum	375
Range	226
Interquartile range (IQR)	73

Descriptive statistics

Standard deviation	44.96686894
Coefficient of variation (CV)	0.185059447
Kurtosis	-0.9099421689
Mean	242.9860765
Median Absolute Deviation (MAD)	31
Skewness	0.5227053648
Sum	1657894
Variance	2022.019302
Monotocity	Not monotonic

Histogram with fixed size bins (bins=50)

Value	Count	Frequency (%)
211	93	1.4%
205	87	1.3%
210	87	1.3%
204	86	1.3%
195	83	1.2%
213	83	1.2%
209	81	1.2%
193	81	1.2%
197	80	1.2%
202	79	1.2%
Other values (196)	5983	87.7%

Minimum 5 values
Maximum 5 values

Value	Count	Frequency (%)
149	1	< 0.1%
155	1	< 0.1%
156	1	< 0.1%
160	2	< 0.1%
163	1	< 0.1%

Value	Count	Frequency (%)
375	1	< 0.1%
370	1	< 0.1%
369	2	< 0.1%
366	1	< 0.1%
364	1	< 0.1%

Forty
Real number (ℝ_≥0)

MISSING

Distinct	160
Distinct (%)	2.4%
Missing	170
Missing (%)	2.5%
Infinite	0
Infinite (%)	0.0%

Mean	4.880455434
Minimum	4.22
Maximum	9.99
Zeros	0
Zeros (%)	0.0%
Memory size	53.3 KiB

Quantile statistics

Minimum	4.22
5-th percentile	4.41
Q1	4.54
median	4.71
Q3	5
95-th percentile	5.42
Maximum	9.99
Range	5.77
Interquartile range (IQR)	0.46

Descriptive statistics

Standard deviation	0.7787962248
Coefficient of variation (CV)	0.1595744978
Kurtosis	33.01849254
Mean	4.880455434
Median Absolute Deviation (MAD)	0.2
Skewness	5.463036234
Sum	32469.67
Variance	0.6065235598
Monotocity	Not monotonic

Histogram with fixed size bins (bins=50)

Value	Count	Frequency (%)
4.5	149	2.2%
4.56	136	2.0%
4.65	135	2.0%
4.62	132	1.9%
9.99	129	1.9%
4.58	124	1.8%
4.52	122	1.8%
4.59	122	1.8%
4.53	121	1.8%
4.6	112	1.6%
Other values (150)	5371	78.7%
(Missing)	170	2.5%

Minimum 5 values
Maximum 5 values

Value	Count	Frequency (%)
4.22	2	< 0.1%
4.24	1	< 0.1%
4.26	1	< 0.1%
4.27	3	< 0.1%
4.28	5	0.1%

Value	Count	Frequency (%)
9.99	129	1.9%
6.05	1	< 0.1%
6	1	< 0.1%
5.99	1	< 0.1%
5.86	1	< 0.1%

Vertical
Real number (ℝ_≥0)

MISSING

Distinct	56
Distinct (%)	1.1%
Missing	1563
Missing (%)	22.9%
Infinite	0
Infinite (%)	0.0%

Mean	32.88697719
Minimum	17.5
Maximum	46
Zeros	0
Zeros (%)	0.0%
Memory size	53.3 KiB

Quantile statistics

Minimum	17.5
5-th percentile	25.5
Q1	30
median	33
Q3	36
95-th percentile	39.5
Maximum	46
Range	28.5
Interquartile range (IQR)	6

Descriptive statistics

Standard deviation	4.200753695
Coefficient of variation (CV)	0.1277330437
Kurtosis	-0.1676728427
Mean	32.88697719
Median Absolute Deviation (MAD)	3
Skewness	-0.2013368553
Sum	172985.5
Variance	17.64633161
Monotocity	Not monotonic

Histogram with fixed size bins (bins=50)

Value	Count	Frequency (%)
33	275	4.0%
34	259	3.8%
33.5	256	3.8%
35.5	247	3.6%
35	239	3.5%
34.5	237	3.5%
36	233	3.4%
32.5	233	3.4%
32	220	3.2%
31	194	2.8%
Other values (46)	2867	42.0%
(Missing)	1563	22.9%

Minimum 5 values
Maximum 5 values

Value	Count	Frequency (%)
17.5	1	< 0.1%
19	1	< 0.1%
19.5	3	< 0.1%
20	1	< 0.1%
20.5	7	0.1%

Value	Count	Frequency (%)
46	1	< 0.1%
45.5	1	< 0.1%
45	4	0.1%
44.5	2	< 0.1%
44	3	< 0.1%

BenchReps
Real number (ℝ_≥0)

MISSING

Distinct	45
Distinct (%)	1.0%
Missing	2194
Missing (%)	32.2%
Infinite	0
Infinite (%)	0.0%

Mean	20.83063297
Minimum	2
Maximum	49
Zeros	0
Zeros (%)	0.0%
Memory size	53.3 KiB

Quantile statistics

Minimum	2
5-th percentile	11
Q1	16
median	21
Q3	25
95-th percentile	32
Maximum	49
Range	47
Interquartile range (IQR)	9

Descriptive statistics

Standard deviation	6.362080028
Coefficient of variation (CV)	0.3054194291
Kurtosis	0.08944848128
Mean	20.83063297
Median Absolute Deviation (MAD)	4
Skewness	0.2612411521
Sum	96425
Variance	40.47606228
Monotocity	Not monotonic

Histogram with fixed size bins (bins=45)

Value	Count	Frequency (%)
19	289	4.2%
21	282	4.1%
23	278	4.1%
20	266	3.9%
24	265	3.9%
22	265	3.9%
17	256	3.8%
18	253	3.7%
15	243	3.6%
25	221	3.2%
Other values (35)	2011	29.5%
(Missing)	2194	32.2%

Minimum 5 values
Maximum 5 values

Value	Count	Frequency (%)
2	1	< 0.1%
3	2	< 0.1%
4	5	0.1%
5	5	0.1%
6	10	0.1%

Value	Count	Frequency (%)
49	1	< 0.1%
45	3	< 0.1%
44	4	0.1%
43	1	< 0.1%
42	4	0.1%

BroadJump
Real number (ℝ_≥0)

MISSING

Distinct	62
Distinct (%)	1.2%
Missing	1617
Missing (%)	23.7%
Infinite	0
Infinite (%)	0.0%

Mean	114.3301959
Minimum	74
Maximum	147
Zeros	0
Zeros (%)	0.0%
Memory size	53.3 KiB

Quantile statistics

Minimum	74
5-th percentile	97
Q1	109
median	115
Q3	121
95-th percentile	128
Maximum	147
Range	73
Interquartile range (IQR)	12

Descriptive statistics

Standard deviation	9.320294789
Coefficient of variation (CV)	0.08152085031
Kurtosis	-0.0002723226255
Mean	114.3301959
Median Absolute Deviation (MAD)	6
Skewness	-0.4149142964
Sum	595203
Variance	86.86789495
Monotocity	Not monotonic

Histogram with fixed size bins (bins=50)

Value	Count	Frequency (%)
120	277	4.1%
118	252	3.7%
117	235	3.4%
116	234	3.4%
115	234	3.4%
121	232	3.4%
119	210	3.1%
113	210	3.1%
114	197	2.9%
112	191	2.8%
Other values (52)	2934	43.0%
(Missing)	1617	23.7%

Minimum 5 values
Maximum 5 values

Value	Count	Frequency (%)
74	1	< 0.1%
78	1	< 0.1%
82	2	< 0.1%
84	1	< 0.1%
85	4	0.1%

Value	Count	Frequency (%)
147	1	< 0.1%
141	3	< 0.1%
140	1	< 0.1%
139	3	< 0.1%
138	3	< 0.1%

Cone
Real number (ℝ_≥0)

MISSING

Distinct	294
Distinct (%)	6.4%
Missing	2223
Missing (%)	32.6%
Infinite	0
Infinite (%)	0.0%

Mean	7.349841304
Minimum	3.97
Maximum	9.99
Zeros	0
Zeros (%)	0.0%
Memory size	53.3 KiB

Quantile statistics

Minimum	3.97
5-th percentile	6.63
Q1	6.96
median	7.2
Q3	7.62
95-th percentile	9.99
Maximum	9.99
Range	6.02
Interquartile range (IQR)	0.66

Descriptive statistics

Standard deviation	0.9601758808
Coefficient of variation (CV)	0.1306389949
Kurtosis	4.146354028
Mean	7.349841304
Median Absolute Deviation (MAD)	0.3
Skewness	0.2381421691
Sum	33809.27
Variance	0.9219377221
Monotocity	Not monotonic

Histogram with fixed size bins (bins=50)

Value	Count	Frequency (%)
9.99	289	4.2%
7.09	76	1.1%
7.07	75	1.1%
7	67	1.0%
7.08	66	1.0%
6.9	63	0.9%
7.12	59	0.9%
7.15	58	0.9%
6.94	54	0.8%
6.96	54	0.8%
Other values (284)	3739	54.8%
(Missing)	2223	32.6%

Minimum 5 values
Maximum 5 values

Value	Count	Frequency (%)
3.97	1	< 0.1%
3.99	1	< 0.1%
4.01	1	< 0.1%
4.03	2	< 0.1%
4.04	1	< 0.1%

Value	Count	Frequency (%)
9.99	289	4.2%
9.12	1	< 0.1%
9.04	1	< 0.1%
9	1	< 0.1%
8.84	1	< 0.1%

Shuttle
Real number (ℝ_≥0)

MISSING

Distinct	236
Distinct (%)	5.1%
Missing	2153
Missing (%)	31.6%
Infinite	0
Infinite (%)	0.0%

Mean	4.836351178
Minimum	3.73
Maximum	9.99
Zeros	0
Zeros (%)	0.0%
Memory size	53.3 KiB

Quantile statistics

Minimum	3.73
5-th percentile	4.04
Q1	4.21
median	4.39
Q3	4.67
95-th percentile	9.99
Maximum	9.99
Range	6.26
Interquartile range (IQR)	0.46

Descriptive statistics

Standard deviation	1.445666638
Coefficient of variation (CV)	0.2989168043
Kurtosis	7.355668142
Mean	4.836351178
Median Absolute Deviation (MAD)	0.21
Skewness	2.927457052
Sum	22585.76
Variance	2.089952029
Monotocity	Not monotonic

Histogram with fixed size bins (bins=50)

Value	Count	Frequency (%)
9.99	290	4.3%
4.4	105	1.5%
4.28	101	1.5%
4.21	94	1.4%
4.2	92	1.3%
4.15	84	1.2%
4.25	84	1.2%
4.18	82	1.2%
4.32	81	1.2%
4.07	77	1.1%
Other values (226)	3580	52.5%
(Missing)	2153	31.6%

Minimum 5 values
Maximum 5 values

Value	Count	Frequency (%)
3.73	1	< 0.1%
3.75	1	< 0.1%
3.78	1	< 0.1%
3.8	1	< 0.1%
3.81	2	< 0.1%

Value	Count	Frequency (%)
9.99	290	4.3%
8.28	1	< 0.1%
8.15	1	< 0.1%
8.13	1	< 0.1%
8.06	1	< 0.1%

pro bowl?
Boolean

Distinct	2
Distinct (%)	< 0.1%
Missing	0
Missing (%)	0.0%
Memory size	53.3 KiB

0	6248
1	575

Common Values
Chart

Value	Count	Frequency (%)
0	6248	91.6%
1	575	8.4%

Pearson's r

The Pearson's correlation coefficient (r) is a measure of linear correlation between two variables. It's value lies between -1 and +1, -1 indicating total negative linear correlation, 0 indicating no linear correlation and 1 indicating total positive linear correlation. Furthermore, r is invariant under separate changes in location and scale of the two variables, implying that for a linear function the angle to the x-axis does not affect r.

To calculate r for two variables X and Y, one divides the covariance of X and Y by the product of their standard deviations.

Spearman's ρ

The Spearman's rank correlation coefficient (ρ) is a measure of monotonic correlation between two variables, and is therefore better in catching nonlinear monotonic correlations than Pearson's r. It's value lies between -1 and +1, -1 indicating total negative monotonic correlation, 0 indicating no monotonic correlation and 1 indicating total positive monotonic correlation.

To calculate ρ for two variables X and Y, one divides the covariance of the rank variables of X and Y by the product of their standard deviations.

Kendall's τ

Similarly to Spearman's rank correlation coefficient, the Kendall rank correlation coefficient (τ) measures ordinal association between two variables. It's value lies between -1 and +1, -1 indicating total negative correlation, 0 indicating no correlation and 1 indicating total positive correlation.

To calculate τ for two variables X and Y, one determines the number of concordant and discordant pairs of observations. τ is given by the number of concordant pairs minus the discordant pairs divided by the total number of pairs.

Phik (φk)

Phik (φk) is a new and practical correlation coefficient that works consistently between categorical, ordinal and interval variables, captures non-linear dependency and reverts to the Pearson correlation coefficient in case of a bivariate normal input distribution. There is extensive documentation available here.

First rows

	Player	Pos	Ht	Wt	Forty	Vertical	BenchReps	BroadJump	Cone	Shuttle	pro bowl?
0	John Abraham	OLB	76	252	4.55	NaN	NaN	NaN	NaN	NaN	1
1	Shaun Alexander	RB	72	218	4.58	NaN	NaN	NaN	NaN	NaN	1
2	Darnell Alford	OT	76	334	5.56	25.0	23.0	94.0	8.48	4.98	0
3	Kyle Allamon	TE	74	253	4.97	29.0	NaN	104.0	7.29	4.49	0
4	Rashard Anderson	CB	74	206	4.55	34.0	NaN	123.0	7.18	4.15	0
5	Jake Arians	K	70	202	NaN	NaN	NaN	NaN	NaN	NaN	0
6	LaVar Arrington	OLB	75	250	4.53	NaN	NaN	NaN	NaN	NaN	1
7	Corey Atkins	OLB	72	237	4.72	31.0	21.0	112.0	7.96	4.39	0
8	Kyle Atteberry	K	72	167	NaN	NaN	NaN	NaN	NaN	NaN	0
9	Reggie Austin	CB	69	175	4.44	35.0	17.0	119.0	7.03	4.14	0

Last rows

	Player	Pos	Ht	Wt	Forty	Vertical	BenchReps	BroadJump	Cone	Shuttle	pro bowl?
6813	Rob Windsor	DL	76	285	4.90	28.5	21.0	111.0	7.47	4.44	0
6814	Antoine Winfield	S	70	205	4.45	36.0	NaN	124.0	9.99	9.99	1
6815	Tristan Wirfs	OL	77	322	4.85	36.5	24.0	121.0	7.65	4.68	0
6816	Steven Wirtel	LS	76	227	4.76	26.0	NaN	120.0	7.12	4.28	0
6817	Charlie Woerner	TE	77	245	4.78	34.5	21.0	120.0	7.18	4.46	0
6818	D.J. Wonnum	DL	77	254	4.73	34.5	20.0	123.0	7.25	4.44	0
6819	Dom Wood-Anderson	TE	76	257	4.92	35.0	NaN	119.0	9.99	9.99	0
6820	David Woodward	LB	74	235	4.79	33.5	16.0	114.0	7.34	4.37	0
6821	Chase Young	DL	77	265	9.99	NaN	NaN	NaN	9.99	9.99	1
6822	Jabari Zuniga	DL	75	253	4.64	33.0	29.0	127.0	9.99	9.99	0

Overview

Variables

Interactions

Correlations

Pearson's r

Spearman's ρ

Kendall's τ

Phik (φk)

Missing values

Sample

First rows

Last rows